Coordinate Planes, Graphing, and Input Output Graphs

Front

What is the purpose of the coordinate plane in mathematics?

Back

The coordinate plane is used to graph points, lines, and curves, allowing for the visualization of relationships between variables.

Front

Define an ordered pair in the context of a coordinate plane.

Back

An ordered pair is a pair of numbers (x, y) that represent a point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What does it mean to move a point on the coordinate plane?

Back

Moving a point on the coordinate plane involves changing its coordinates by a certain number of units in the horizontal (x) and vertical (y) directions.

Front

How do you determine the output of a function given an input?

Back

To determine the output of a function, substitute the input value into the function's rule or equation and simplify to find the corresponding output.

Front

What is the significance of the x-axis and y-axis in a coordinate plane?

Back

The x-axis is the horizontal line that represents the input values, while the y-axis is the vertical line that represents the output values.

Front

Explain what a graph represents in relation to a function.

Back

A graph visually represents the relationship between input and output values of a function, showing how changes in input affect output.

Front

What does it mean for a table to be graphed correctly?

Back

A table is graphed correctly if the points plotted from the table accurately reflect the relationships and values indicated in the table.

Front

How can you identify the coordinates of a point on a graph?

Back

The coordinates of a point on a graph can be identified by locating the point's position relative to the x-axis and y-axis.

Front

What is the process for translating an ordered pair on a coordinate plane?

Back

To translate an ordered pair, adjust the x-coordinate and y-coordinate by the specified number of units in the desired direction.

Front

What is the relationship between input and output in a function?

Back

In a function, each input value corresponds to exactly one output value, establishing a unique relationship between the two.